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x-22<8x-20
Multiply both sides of the equation by 4. Since 4 is positive, the inequality direction remains the same.
x-22-8x<-20
Subtract 8x from both sides.
-7x-22<-20
Combine x and -8x to get -7x.
-7x<-20+22
Add 22 to both sides.
-7x<2
Add -20 and 22 to get 2.
x>-\frac{2}{7}
Divide both sides by -7. Since -7 is negative, the inequality direction is changed.